Mazurkiewicz manifolds and homogeneity

Details Mazurkiewicz manifolds and homogeneity Mazurkiewicz manifolds and homogeneity

2009-01-09

arxiv.org/abs/0901.1329v1

Mathematics

General Topology

5 pages

Scientific paper

It is proved that no region of a homogeneous locally compact, locally
connected metric space can be cut by an $F_\sigma$-subset of a "smaller"
dimension. The result applies to different finite or infinite topological
dimensions of metrizable spaces.

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